Results 111 to 120 of about 480 (210)

Asymptotic Behavior of Variable-Coefficient Toeplitz Determinants

Journal of Fourier Analysis and Applications, 2001
Let \(\sigma\) be a continuous function on \([0,1]\times {\mathbb T}\), where \(\mathbb T\) is the unit circle. Denote by \(op_n \sigma\) the \((n+1)\times (n+1)\) matrix whose \((j,k)\)-entris are given by \({1 \over 2\pi} \int_0^{2\pi} \sigma ({j\over n}, e^{-i(j-k)\theta}) d\theta\).
Ehrhardt, Torsten, Shao, Bin
openaire   +2 more sources

Hankel and Toeplitz Determinants for q-Analog Functions Defined by Linear Multiplier q-Differintegral Operator

Mathematics
In this paper, we define new subclasses Cq(t,λ,δ,n) and Kq(η,t,λ,δ,n) of analytic functions by using a Linear Multiplier q-differintegral operator with a generalized binomial series. In particular, we find the Hankel, Toeplitz determinant boundary values
Ningegowda Ravikumar, Basem Aref Frasin, Hari Mohan Srivastava, Haladasanahalli Shivanna Roopa, Ibtisam Aldawish   +4 more
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Determinants of Toeplitz–Hessenberg Matrices with Generalized Leonardo Number Entries

Annales Mathematicae Silesianae
Let un = un(k) denote the generalized Leonardo number defined recursively by un = un−1 + un−2 + k for n ≥ 2, where u0 = u1 = 1. Terms of the sequence un(1) are referred to simply as Leonardo numbers.
Goy Taras, Shattuck Mark
doaj   +1 more source

Inverting toeplitz matrices for convolutional neural networks [PDF]

The thesis focuses on finding new methods for inverting image convolution. It starts with the idea that matrix convolution can be transformed into matrix multiplication using some special matrix related with tridiagonal toeplitz matrices.
Segura Montero, Oier
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Third Hankel determinant for starlike and convex functions with respect to symmetric points [PDF]

, 2016
The objective of this paper is to obtain best possible upper bound to the \(H_{3}(1)\)  Hankel determinant for starlike and convex functions with respect to symmetric points, using Toeplitz ...
RamReddy, T., Vamshee Krishna, D., Venkateswarlu, B.   +2 more
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A Novel Family of Starlike Functions Involving Quantum Calculus and a Special Function

Fractal and Fractional
The intent of quantum calculus, briefly q-calculus, is to find q-analogues of mathematical entities so that the original object is achieved when a certain limit is taken. In the case of q-analogue of the ordinary derivative, the limit is q→1−.
Baseer Gul, Daniele Ritelli, Reem K. Alhefthi, Muhammad Arif   +3 more
doaj   +1 more source

Discrete Toeplitz/Hankel determinants and the width of non-intersecting processes [PDF]

, 2012
We show that the ratio of a discrete Toeplitz/Hankel determinant and its continuous counterpart equals a Freholm determinant involving continuous orthogonal polynomi-als.
Zhipeng Liu, Jinho Baik
core  

The determinant of a class of skew-symmetric toeplitz matrices

Linear Algebra and its Applications, 1976
AbstractThe determinant of the n×n matrix associated with the finite-difference operator μδ2r+1 is obtained explicitly for all n and all integral r⩾0. An interesting combinatorial identity results.
Andres, T.H., Hoskins, W.D., Stanton, R.G.   +2 more
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Bound on H3(1) Hankel determinant for pre-starlike functions of order α [PDF]

, 2018
The objective of this paper is to obtain best possible upper bound to the third Hankel determinant for the pre-starlike functions of order α (0 ≤ α ≤ 1), using Toeplitz ...
Krishna, D. Vamshee, Shalini, D.
core   +1 more source

Sharp Bounds of Hermitian Toeplitz Determinants for Bounded Turning Functions [PDF]

Hermitian Toeplitz determinants are used in multiple disciplines, including functional analysis, applied mathematics, physics, and engineering sciences. We calculate the sharp upper and lower bounds on the fourth-order Hermitian Toeplitz determinant for ...
Rabia Fayyaz, Luminiţa-Ioana Cotîrlă, Wahid Ullah, Daniel Breaz   +3 more
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